p-adic diophantine approximation - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T23:13:12Z http://mathoverflow.net/feeds/question/95957 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/95957/p-adic-diophantine-approximation p-adic diophantine approximation Kale 2012-05-04T05:31:27Z 2012-05-04T13:38:04Z <p>Suppose you have a sequence of rational numbers that gives a diophantine approximaion an irrational, what can be said p-adically about this sequence?</p> <p>I'm interested in the p-adic analoges of these theorems (such as Thue-siegel-roth), but can't find any straightforward resources on the subject. I can't even find what a good diophantine approximation would mean over a p-adic field.</p> http://mathoverflow.net/questions/95957/p-adic-diophantine-approximation/95984#95984 Answer by Anatoly Kochubei for p-adic diophantine approximation Anatoly Kochubei 2012-05-04T13:38:04Z 2012-05-04T13:38:04Z <p>The paper by Schlickewei mentioned in the comment is available here:</p> <p><a href="http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN365956996_0018&amp;DMDID=DMDLOG_0012" rel="nofollow">http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN365956996_0018&amp;DMDID=DMDLOG_0012</a></p> <p>In general, many old mathematical papers can be obtained free of charge via the site</p> <p><a href="http://www.emani.org/" rel="nofollow">http://www.emani.org/</a></p> <p>Often these papers cannot be found by standard search englines.</p>